BY permutation, There are 90 ways by which the arrangement of 'PALINDROME' takes place.
According to the statement
we have given that the word 'PALINDROME' and we have to find that the in how much ways this word can be arranged.
So, For this purpose, we use the permutation here
So, A permutation is a mathematical technique that determines the number of possible arrangements.
The word given is:
'PALINDROME' this contain 10 words and given 2 words M and E are in any order.
So, Permutation takes place with
.
So,

Now solve this then

And


And then after take common from them and cancel it the equation become


90 ways are comes as the output.
So, BY permutation, There are 90 ways by which the arrangement of 'PALINDROME' takes place.
Learn more about permutation here
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